Finite Group Databasebeta

← D13×#2419 #16030617

Subgroups — D13×#2419 #16030617

Order 3328.

3222 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×#123C211yesmaximal, characteristic
2C2×C4×D4×D13C211yesmaximal, characteristic
3#13118320C211yesmaximal, characteristic, complemented
4#13118319C211yesmaximal, characteristic, complemented
5#13118318C211yesmaximal, characteristic, complemented
6#13118317C211yesmaximal, characteristic, complemented
7#13118316C211yesmaximal, characteristic, complemented
8#13118315C211yesmaximal, characteristic, complemented
9#13118314C211yesmaximal, characteristic, complemented
10#13118313C211yesmaximal, characteristic, complemented
11#13118312C211yesmaximal, characteristic, complemented
12#13118311C211yesmaximal, characteristic, complemented
13#13118310C211yesmaximal, characteristic, complemented
14#13118309C211yesmaximal, characteristic, complemented
15#13118308C211yesmaximal, characteristic, complemented
16#13118307C211yesmaximal, characteristic, complemented
17#13118306C211yesmaximal, characteristic, complemented
18D13×#400C211yesmaximal, characteristic, complemented
19D13×#398C211yesmaximal, characteristic, complemented
20D13×#397C211yesmaximal, characteristic, complemented
21D13×#397C211yesmaximal, characteristic, complemented
22D13×#387C211yesmaximal, characteristic, complemented
23D13×#387C211yesmaximal, characteristic, complemented
24D13×#386C211yesmaximal, characteristic
25D13×#385C211yesmaximal, characteristic, complemented
26D13×#385C211yesmaximal, characteristic, complemented
27D13×#381C211yesmaximal, characteristic, complemented
28D13×#381C211yesmaximal, characteristic, complemented
29D13×#380C211yesmaximal, characteristic, complemented
30C2×D13×#95C211yesmaximal, characteristic, complemented
31C13×#2419C211yesmaximal, characteristic, complemented
32C22×D4×D13C2211yescharacteristic
33C23×C4×D13C2211yescharacteristic
34C23×C4×D13C2211yescharacteristic
35C23×C4×D13C2211yescharacteristic
36C23×C4×D13C2211yescharacteristic
37C2×C13×#123C2211yescharacteristic
38C2×C4×D4×C13C2211yescharacteristic
39C2×#88189C2211yescharacteristic
40C2×D4×Dic13C2211yescharacteristic
41C2×#88183C2211yescharacteristic
42C2×C4×C22⋊D13C2211yescharacteristic
43C2×C4×C22⋊D13C2211yescharacteristic
44D13×#123—28no—
45C4×D4×D13—28no—
46C2×#88148C2211yescharacteristic
47C2×#88148C2211yescharacteristic
48C2×#88147C2211yescharacteristic
49C2×C4⋊C4×D13C2211yescharacteristic
50C2×C4⋊C4×D13C2211yescharacteristic
51C2×C4⋊C4×D13C2211yescharacteristic
52C2×C4⋊C4×D13C2211yescharacteristic
53C2×C4⋊C4×D13C2211yescharacteristic
54C2×C4⋊C4×D13C2211yescharacteristic
55C2×C4⋊C4×D13C2211yescharacteristic
56C2×#88140C2211yescharacteristic
57C2×#88137C2211yescharacteristic
58C2×#88137C2211yescharacteristic
59C2×#88135C2211yescharacteristic
60C2×#88135C2211yescharacteristic
61C2×C22⋊C4×D13C2211yescharacteristic
62C2×C22⋊C4×D13C2211yescharacteristic
63C2×C22⋊C4×D13C2211yescharacteristic
64C2×C22⋊C4×D13C2211yescharacteristic
65C2×C22⋊C4×D13C2211yescharacteristic
66C2×C22⋊C4×D13C2211yescharacteristic
67C2×C22⋊C4×D13C2211yescharacteristic
68C2×C22⋊C4×D13C2211yescharacteristic
69C2×C4×D52C2211yescharacteristic
70C2×C42×D13C2211yescharacteristic
71C13×#400C2211yescharacteristic, complemented
72C13×#398C2211yescharacteristic, complemented
73C13×#397C2211yescharacteristic, complemented
74C13×#397C2211yescharacteristic, complemented
75C13×#387C2211yescharacteristic, complemented
76C13×#387C2211yescharacteristic, complemented
77C13×#386C2211yescharacteristic
78C13×#385C2211yescharacteristic, complemented
79C13×#385C2211yescharacteristic, complemented
80C13×#381C2211yescharacteristic, complemented
81C13×#381C2211yescharacteristic, complemented
82C13×#380C2211yescharacteristic, complemented
83C2×C13×#95C2211yescharacteristic, complemented
84#11718881C2211yescharacteristic
85#11718874C2211yescharacteristic
86#11718873C2211yescharacteristic, complemented
87#11718872C2211yescharacteristic, complemented
88#11718872C2211yescharacteristic, complemented
89#11718871C2211yescharacteristic, complemented
90#11718871C2211yescharacteristic, complemented
91C2×#88071C2211yescharacteristic, complemented
92C2×#88071C2211yescharacteristic, complemented
93C2×#88071C2211yescharacteristic, complemented
94#11718654C2211yescharacteristic, complemented
95#11718654C2211yescharacteristic, complemented
96#11718650C2211yescharacteristic, complemented
97#11718650C2211yescharacteristic, complemented
98#11718650C2211yescharacteristic, complemented
99#11718650C2211yescharacteristic, complemented
100#11718648C2211yescharacteristic, complemented
101#11718648C2211yescharacteristic, complemented
102#11718647C2211yescharacteristic, complemented
103#11718645C2211yescharacteristic, complemented
104#11718645C2211yescharacteristic, complemented
105#11718644C2211yescharacteristic, complemented
106#11718643C2211yescharacteristic, complemented
107#11718642C2211yescharacteristic, complemented
108#11718642C2211yescharacteristic, complemented
109#11718641C2211yescharacteristic, complemented
110#11718639C2211yescharacteristic, complemented
111#11718639C2211yescharacteristic, complemented
112#11718619C2211yescharacteristic
113#11718617C2211yescharacteristic
114#11718617C2211yescharacteristic
115#11718614C2211yescharacteristic, complemented
116#11718614C2211yescharacteristic, complemented
117#11718613C2211yescharacteristic, complemented
118#11718613C2211yescharacteristic, complemented
119#11718613C2211yescharacteristic, complemented
120#11718613C2211yescharacteristic, complemented
121#11718611C2211yescharacteristic, complemented
122#11718611C2211yescharacteristic, complemented
123#11718607C2211yescharacteristic, complemented
124#11718607C2211yescharacteristic, complemented
125#11718604C2211yescharacteristic, complemented
126#11718604C2211yescharacteristic, complemented
127#11718604C2211yescharacteristic, complemented
128#11718604C2211yescharacteristic, complemented
129#11718603C2211yescharacteristic, complemented
130#11718603C2211yescharacteristic, complemented
131#11718594C2211yescharacteristic, complemented
132#11718594C2211yescharacteristic, complemented
133#11718336C2211yescharacteristic, complemented
134#11718336C2211yescharacteristic, complemented
135#11718336C2211yescharacteristic, complemented
136#11718336C2211yescharacteristic, complemented
137#11718335C2211yescharacteristic, complemented
138#11718335C2211yescharacteristic, complemented
139#11718329C2211yescharacteristic, complemented
140#11718329C2211yescharacteristic, complemented
141#11718329C2211yescharacteristic, complemented
142#11718329C2211yescharacteristic, complemented
143#11718328C2211yescharacteristic, complemented
144#11718328C2211yescharacteristic, complemented
145#11718326C2211yescharacteristic
146#11718326C2211yescharacteristic
147#11718325C2211yescharacteristic, complemented
148#11718325C2211yescharacteristic, complemented
149#11718325C2211yescharacteristic, complemented
150#11718325C2211yescharacteristic, complemented
151#11718325C2211yescharacteristic, complemented
152#11718325C2211yescharacteristic, complemented
153#11718325C2211yescharacteristic, complemented
154#11718325C2211yescharacteristic, complemented
155D13×#95C2211yescharacteristic
156D13×#95C2211yescharacteristic
157D13×#95C2211yescharacteristic
158D13×#95C2211yescharacteristic
159D13×#95C2211yescharacteristic
160D13×#95C2211yescharacteristic
161D13×#95C2211yescharacteristic
162D13×#95C2211yescharacteristic
163D13×#95C2211yescharacteristic
164D13×#95C2211yescharacteristic
165D13×#95C2211yescharacteristic
166D13×#95C2211yescharacteristic
167D13×#95C2211yescharacteristic
168D13×#95C2211yescharacteristic
169D13×#95C2211yescharacteristic, complemented
170D13×#95C2211yescharacteristic, complemented
171D13×#95C2211yescharacteristic, complemented
172D13×#95C2211yescharacteristic, complemented
173#11718322C2211yescharacteristic, complemented
174#11718321C2211yescharacteristic, complemented
175#11718321C2211yescharacteristic, complemented
176#11718320C2211yescharacteristic, complemented
177#11718319C2211yescharacteristic, complemented
178#11718319C2211yescharacteristic, complemented
179#11718318C2211yescharacteristic, complemented
180#11718318C2211yescharacteristic, complemented
181#11718316C2211yescharacteristic, complemented
182#11718316C2211yescharacteristic, complemented
183#11718315C2211yescharacteristic, complemented
184#11718315C2211yescharacteristic, complemented
185#11718314C2211yescharacteristic, complemented
186#11718314C2211yescharacteristic, complemented
187#11718313C2211yescharacteristic, complemented
188#11718313C2211yescharacteristic, complemented
189C24×D13C2311yescharacteristic
190C24×D13C2311yescharacteristic
191C22×D4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C23×C4×C13C2311yescharacteristic
194C23×C4×C13C2311yescharacteristic
195C23×C4×C13C2311yescharacteristic
196C22×C22⋊D13C2311yescharacteristic
197C22×C22⋊D13C2311yescharacteristic
198C23×Dic13C2311yescharacteristic
199C23×Dic13C2311yescharacteristic
200C23×Dic13C2311yescharacteristic
201C23×Dic13C2311yescharacteristic
202C2×D4×D13—24no—
203C2×D4×D13—24no—
204C2×D4×D13D418yes—
205C22×D52C2311yescharacteristic
206C22×C4×D13—24no—
207C22×C4×D13—24no—
208C22×C4×D13—24no—
209C22×C4×D13—24no—
210C22×C4×D13—24no—
211C22×C4×D13—24no—
212C22×C4×D13—24no—
213C22×C4×D13—24no—
214C22×C4×D13—24no—
215C22×C4×D13—42no—
216C22×C4×D13—42no—
217C22×C4×D13—42no—
218C22×C4×D13C2311yescharacteristic
219C22×C4×D13C2311yescharacteristic
220C22×C4×D13C2311yescharacteristic
221C22×C4×D13C2311yescharacteristic
222C22×C4×D13C2311yescharacteristic
223C22×C4×D13C2311yescharacteristic
224C22×C4×D13C2311yescharacteristic
225C22×C4×D13C2311yescharacteristic
226C22×C4×D13C2311yescharacteristic
227C22×C4×D13C2311yescharacteristic
228C22×C4×D13C2311yescharacteristic
229C22×C4×D13C2311yescharacteristic
230C22×C4×D13C2311yescharacteristic
231C22×C4×D13C2311yescharacteristic
232C22×C4×D13C2311yescharacteristic
233C22×C4×D13C2311yescharacteristic
234C22×C4×D13C2311yescharacteristic
235C22×C4×D13C2311yescharacteristic
236C22×C4×D13C2311yescharacteristic
237C22×C4×D13C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C13×#123—24no—
240C4×D4×C13—24no—
241C2×C13×C4⋊C4C2311yescharacteristic
242C2×C13×C4⋊C4C2311yescharacteristic
243C2×C13×C4⋊C4C2311yescharacteristic
244C2×C13×C4⋊C4C2311yescharacteristic
245C2×C13×C4⋊C4C2311yescharacteristic
246C2×C13×C4⋊C4C2311yescharacteristic
247C2×C13×C4⋊C4C2311yescharacteristic
248C2×C13×C22⋊C4C2311yescharacteristic
249C2×C13×C22⋊C4C2311yescharacteristic
250C2×C13×C22⋊C4C2311yescharacteristic
251C2×C13×C22⋊C4C2311yescharacteristic
252C2×C13×C22⋊C4C2311yescharacteristic
253C2×C13×C22⋊C4C2311yescharacteristic
254C2×C13×C22⋊C4C2311yescharacteristic
255C2×C13×C22⋊C4C2311yescharacteristic
256C2×C42×C13C2311yescharacteristic
257C2×C22⋊Dic13C2311yescharacteristic
258C2×C22⋊Dic13C2311yescharacteristic
259C2×C22⋊Dic13C2311yescharacteristic
260C2×C22⋊Dic13C2311yescharacteristic
261C2×C22⋊Dic13C2311yescharacteristic
262C2×C22⋊Dic13C2311yescharacteristic
263C2×C22⋊Dic13C2311yescharacteristic
264C2×C22⋊Dic13C2311yescharacteristic
265#88189—24no—
266D4×Dic13—24no—
267#88183—24no—
268C4×C22⋊D13—24no—
269C4×C22⋊D13—24no—
270C2×#6103C2311yescharacteristic
271C2×#6103C2311yescharacteristic
272C2×#6103C2311yescharacteristic
273C2×#6103C2311yescharacteristic
274C2×#6103C2311yescharacteristic
275C2×#6103C2311yescharacteristic
276C2×#6103C2311yescharacteristic
277C2×#6103C2311yescharacteristic
278C2×#6103C2311yescharacteristic
279C2×#6103C2311yescharacteristic
280C2×#6103C2311yescharacteristic
281C2×#6103C2311yescharacteristic
282C2×#6103C2311yescharacteristic
283C2×#6103C2311yescharacteristic
284C2×#6103C2311yescharacteristic
285C2×#6103C2311yescharacteristic
286C2×C4⋊Dic13C2311yescharacteristic
287C2×C4⋊Dic13C2311yescharacteristic
288C2×C4⋊Dic13C2311yescharacteristic
289C2×C4⋊Dic13C2311yescharacteristic
290C2×C4⋊Dic13C2311yescharacteristic
291C2×C4⋊Dic13C2311yescharacteristic
292C2×C4⋊Dic13C2311yescharacteristic
293C2×#6101C2311yescharacteristic
294C2×#6101C2311yescharacteristic
295C2×#6101C2311yescharacteristic
296C2×#6101C2311yescharacteristic
297C2×#6101C2311yescharacteristic
298C2×#6101C2311yescharacteristic
299C2×#6101C2311yescharacteristic
300C2×#6101C2311yescharacteristic
301C2×#6101C2311yescharacteristic
302C2×#6101C2311yescharacteristic
303C2×#6101C2311yescharacteristic
304C2×#6101C2311yescharacteristic
305C2×#6101C2311yescharacteristic
306C2×#6101C2311yescharacteristic
307C2×C4×Dic13C2311yescharacteristic
308C2×C4×Dic13C2311yescharacteristic
309C2×C4×Dic13C2311yescharacteristic
310#88148—24no—
311#88148—24no—
312#88147—24no—
313C4⋊C4×D13—24no—
314C4⋊C4×D13—24no—
315C4⋊C4×D13—24no—
316C4⋊C4×D13—24no—
317C4⋊C4×D13—24no—
318C4⋊C4×D13—42no—
319C4⋊C4×D13—42no—
320#88140—24no—
321#88137—24no—
322#88137—24no—
323#88135—24no—
324#88135—24no—
325C22⋊C4×D13—24no—
326C22⋊C4×D13—24no—
327C22⋊C4×D13—24no—
328C22⋊C4×D13—24no—
329C22⋊C4×D13—24no—
330C22⋊C4×D13—24no—
331C22⋊C4×D13—24no—
332C22⋊C4×D13—42no—
333C4×D52—24no—
334C42×D13—24no—
335C13×#95C2311yescharacteristic
336C13×#95C2311yescharacteristic
337C13×#95C2311yescharacteristic
338C13×#95C2311yescharacteristic
339C13×#95C2311yescharacteristic
340C13×#95C2311yescharacteristic
341C13×#95C2311yescharacteristic
342C13×#95C2311yescharacteristic
343C13×#95C2311yescharacteristic
344C13×#95C2311yescharacteristic
345C13×#95C2311yescharacteristic
346C13×#95C2311yescharacteristic
347C13×#95C2311yescharacteristic
348C13×#95C2311yescharacteristic
349#88071C2311yescharacteristic
350#88071C2311yescharacteristic
351#88071C2311yescharacteristic
352#88071C2311yescharacteristic
353#88071C2311yescharacteristic
354#88071C2311yescharacteristic
355#88071C2311yescharacteristic
356#88071C2311yescharacteristic
357#88071C2311yescharacteristic
358#88071C2311yescharacteristic
359#88071C2311yescharacteristic
360#88071C2311yescharacteristic
361#88071C2311yescharacteristic
362#88071C2311yescharacteristic
363#88071C2311yescharacteristic
364#88071C2311yescharacteristic
365#88071C2311yescharacteristic
366#88071C2311yescharacteristic
367#88071C2311yescharacteristic
368#88071C2311yescharacteristic
369#88071C2311yescharacteristic
370#88071C2311yescharacteristic
371#88071C2311yescharacteristic
372#88071C2311yescharacteristic
373#88071C2311yescharacteristic
374#88071C2311yescharacteristic
375#88071C2311yescharacteristic
376#88071C2311yescharacteristic
377#88071C2311yescharacteristic
378#88071C2311yescharacteristic
379#88071C2311yescharacteristic
380#88071C2311yescharacteristic
381#88071C2311yescharacteristic
382#88071C2311yescharacteristic
383#88071C2311yescharacteristic
384#88071C2311yescharacteristic
385#88071C2311yescharacteristic
386#88071C2311yescharacteristic
387#88071C2311yescharacteristic
388#88071C2311yescharacteristic
389#88071C2311yescharacteristic
390#88071C2311yescharacteristic
391C2×#2419—131nomaximal, Sylow
392C24×C13C2411yescharacteristic
393C24×C13C2411yescharacteristic
394C23×D13—22no—
395C23×D13—22no—
396C23×D13—22no—
397C23×D13—22no—
398C23×D13—22no—
399C23×D13—22no—
400C23×D13—22no—
401C23×D13—22no—
402C23×D13—22no—
403C23×D13—22no—
404C23×D13C2×D414yes—
405C23×D13C2×D414yes—
406C23×D13#4114yes—
407C23×D13#4114yes—
408C23×D13C2411yescharacteristic
409C23×D13C2411yescharacteristic
410C23×D13C2411yescharacteristic
411C2×D4×C13—22no—
412C2×D4×C13—22no—
413C2×D4×C13C2×D414yes—
414C22×C4×C13—22no—
415C22×C4×C13—22no—
416C22×C4×C13—22no—
417C22×C4×C13—22no—
418C22×C4×C13—22no—
419C22×C4×C13—22no—
420C22×C4×C13—22no—
421C22×C4×C13—22no—
422C22×C4×C13—22no—
423C22×C4×C13—41no—
424C22×C4×C13—41no—
425C22×C4×C13—41no—
426C22×C4×C13C2411yescharacteristic
427C22×C4×C13C2411yescharacteristic
428C22×C4×C13C2411yescharacteristic
429C22×C4×C13C2411yescharacteristic
430C22×C4×C13C2411yescharacteristic
431C22×C4×C13C2411yescharacteristic
432C22×C4×C13C2411yescharacteristic
433C22×C4×C13C2411yescharacteristic
434C22×C4×C13C2411yescharacteristic
435C22×C4×C13C2411yescharacteristic
436C22×C4×C13C2411yescharacteristic
437C22×C4×C13C2411yescharacteristic
438C22×C4×C13C2411yescharacteristic
439C2×C22⋊D13—22no—
440C2×C22⋊D13—22no—
441C2×C22⋊D13—22no—
442C2×C22⋊D13—22no—
443C2×C22⋊D13C2×D414yes—
444C2×C22⋊D13C2×D414yes—
445C22×Dic13—22no—
446C22×Dic13—22no—
447C22×Dic13—22no—
448C22×Dic13—22no—
449C22×Dic13—22no—
450C22×Dic13—22no—
451C22×Dic13—22no—
452C22×Dic13—22no—
453C22×Dic13—22no—
454C22×Dic13—41no—
455C22×Dic13—41no—
456C22×Dic13—41no—
457C22×Dic13C2411yescharacteristic
458C22×Dic13C2411yescharacteristic
459C22×Dic13C2411yescharacteristic
460C22×Dic13C2411yescharacteristic
461C22×Dic13C2411yescharacteristic
462C22×Dic13C2411yescharacteristic
463C22×Dic13C2411yescharacteristic
464C22×Dic13C2411yescharacteristic
465C22×Dic13C2411yescharacteristic
466C22×Dic13C2411yescharacteristic
467C22×Dic13C2411yescharacteristic
468C22×Dic13C2411yescharacteristic
469C22×Dic13C2411yescharacteristic
470D4×D13—232no—
471C2×D52—22no—
472C2×D52—22no—
473C2×D52C2×D414yes—
474C2×C4×D13—22no—
475C2×C4×D13—22no—
476C2×C4×D13—22no—
477C2×C4×D13—22no—
478C2×C4×D13—22no—
479C2×C4×D13—22no—
480C2×C4×D13—22no—
481C2×C4×D13—22no—
482C2×C4×D13—22no—
483C2×C4×D13—22no—
484C2×C4×D13—22no—
485C2×C4×D13—22no—
486C2×C4×D13—22no—
487C2×C4×D13—22no—
488C2×C4×D13—22no—
489C2×C4×D13—22no—
490C2×C4×D13—22no—
491C2×C4×D13—22no—
492C2×C4×D13—22no—
493C2×C4×D13—22no—
494C2×C4×D13—22no—
495C2×C4×D13—22no—
496C2×C4×D13—22no—
497C2×C4×D13—22no—
498C2×C4×D13—22no—
499C2×C4×D13—22no—
500C2×C4×D13—22no—
501C2×C4×D13—22no—
502C2×C4×D13—22no—
503C2×C4×D13—22no—
504C2×C4×D13—22no—
505C2×C4×D13—22no—
506C2×C4×D13—22no—
507C2×C4×D13—22no—
508C2×C4×D13—22no—
509C2×C4×D13—22no—
510C2×C4×D13—22no—
511C2×C4×D13—22no—
512C2×C4×D13—22no—
513C2×C4×D13—22no—
514C2×C4×D13—22no—
515C2×C4×D13—22no—
516C2×C4×D13—22no—
517C2×C4×D13—22no—
518C2×C4×D13—22no—
519C2×C4×D13—22no—
520C2×C4×D13—22no—
521C2×C4×D13—22no—
522C2×C4×D13—22no—
523C2×C4×D13—22no—
524C2×C4×D13—22no—
525C2×C4×D13—22no—
526C2×C4×D13—22no—
527C2×C4×D13—22no—
528C2×C4×D13—416no—
529C2×C4×D13—416no—
530C2×C4×D13—416no—
531C2×C4×D13—41no—
532C2×C4×D13—41no—
533C2×C4×D13—41no—
534C2×C4×D13—41no—
535C2×C4×D13—41no—
536C2×C4×D13—41no—
537C2×C4×D13—416no—
538C2×C4×D13C2×D414yes—
539C2×C4×D13#4114yes—
540C2×C4×D13#4114yes—
541C13×C4⋊C4—22no—
542C13×C4⋊C4—22no—
543C13×C4⋊C4—22no—
544C13×C4⋊C4—22no—
545C13×C4⋊C4—22no—
546C13×C4⋊C4—41no—
547C13×C4⋊C4—41no—
548C13×C22⋊C4—22no—
549C13×C22⋊C4—22no—
550C13×C22⋊C4—22no—
551C13×C22⋊C4—22no—
552C13×C22⋊C4—22no—
553C13×C22⋊C4—22no—
554C13×C22⋊C4—22no—
555C13×C22⋊C4—41no—
556C42×C13—22no—
557C22⋊Dic13—22no—
558C22⋊Dic13—22no—
559C22⋊Dic13—22no—
560C22⋊Dic13—22no—
561C22⋊Dic13—22no—
562C22⋊Dic13—22no—
563C22⋊Dic13—22no—
564C22⋊Dic13—41no—
565#6103—22no—
566#6103—22no—
567#6103—22no—
568#6103—22no—
569#6103—22no—
570#6103—22no—
571#6103—22no—
572#6103—22no—
573#6103—22no—
574#6103—22no—
575#6103—22no—
576#6103—22no—
577#6103—22no—
578#6103—22no—
579#6103—41no—
580#6103—41no—
581C4⋊Dic13—22no—
582C4⋊Dic13—22no—
583C4⋊Dic13—22no—
584C4⋊Dic13—22no—
585C4⋊Dic13—22no—
586C4⋊Dic13—41no—
587C4⋊Dic13—41no—
588#6101—22no—
589#6101—22no—
590#6101—22no—
591#6101—22no—
592#6101—22no—
593#6101—22no—
594#6101—22no—
595#6101—22no—
596#6101—22no—
597#6101—22no—
598#6101—41no—
599#6101—41no—
600#6101—41no—
601#6101—41no—
602C4×Dic13—22no—
603C4×Dic13—22no—
604C4×Dic13—22no—
605C22×#123—131no—
606C22×C4×D4—131no—
607#2419—131no—
608#2419—131no—
609#2419—131no—
610#2419—131no—
611#2419—131no—
612#2419—131no—
613#2419—131no—
614#2419—131no—
615#2419—131no—
616#2419—131no—
617#2419—131no—
618#2419—131no—
619#2419—131no—
620#2419—131no—
621#2419—131no—
622#2419D1311yescharacteristic, direct product factor
623C2×#400—131no—
624C2×#398—131no—
625C2×#397—131no—
626C2×#397—131no—
627C2×#387—131no—
628C2×#387—131no—
629C2×#386—131no—
630C2×#385—131no—
631C2×#385—131no—
632C2×#381—131no—
633C2×#381—131no—
634C2×#380—131no—
635C22×#95—131no—
636C23×C13—21no—
637C23×C13—21no—
638C23×C13—21no—
639C23×C13—21no—
640C23×C13—21no—
641C23×C13—21no—
642C23×C13—21no—
643C23×C13—21no—
644C23×C13—21no—
645C23×C13—21no—
646C23×C13C22×D412yes—
647C23×C13C22×D412yes—
648C23×C13C2×#4112yes—
649C23×C13C2×#4112yes—
650C23×C13C2511yescharacteristic
651C22×D13—21no—
652C22×D13—21no—
653C22×D13—21no—
654C22×D13—21no—
655C22×D13—28no—
656C22×D13—28no—
657C22×D13—28no—
658C22×D13—28no—
659C22×D13—28no—
660C22×D13—28no—
661C22×D13—21no—
662C22×D13—21no—
663C22×D13—21no—
664C22×D13—21no—
665C22×D13—21no—
666C22×D13—21no—
667C22×D13—28no—
668C22×D13—28no—
669C22×D13—28no—
670C22×D13—44no—
671C22×D13—44no—
672C22×D13—44no—
673C22×D13—44no—
674C22×D13#123116yes—
675C22×D13C22×D412yes—
676C22×D13C22×D412yes—
677C22×D13C22×D412yes—
678C22×D13C2×#4112yes—
679C22×D13C2×#4112yes—
680C22×D13C2×#4112yes—
681C22×D13C2×#4112yes—
682C22×D13C2×#4112yes—
683C22×D13C2×#4112yes—
684C22×D13H(5,𝔽2)12yes—
685C22×D132−1+412yes—
686D4×C13—28no—
687C2×C4×C13—21no—
688C2×C4×C13—21no—
689C2×C4×C13—21no—
690C2×C4×C13—21no—
691C2×C4×C13—21no—
692C2×C4×C13—21no—
693C2×C4×C13—21no—
694C2×C4×C13—21no—
695C2×C4×C13—21no—
696C2×C4×C13—21no—
697C2×C4×C13—21no—
698C2×C4×C13—21no—
699C2×C4×C13—21no—
700C2×C4×C13—21no—
701C2×C4×C13—21no—
702C2×C4×C13—21no—
703C2×C4×C13—21no—
704C2×C4×C13—21no—
705C2×C4×C13—21no—
706C2×C4×C13—21no—
707C2×C4×C13—21no—
708C2×C4×C13—21no—
709C2×C4×C13—21no—
710C2×C4×C13—21no—
711C2×C4×C13—21no—
712C2×C4×C13—21no—
713C2×C4×C13—21no—
714C2×C4×C13—21no—
715C2×C4×C13—21no—
716C2×C4×C13—21no—
717C2×C4×C13—21no—
718C2×C4×C13—21no—
719C2×C4×C13—21no—
720C2×C4×C13—21no—
721C2×C4×C13—21no—
722C2×C4×C13—21no—
723C2×C4×C13—44no—
724C2×C4×C13—44no—
725C2×C4×C13—44no—
726C2×C4×C13—44no—
727C2×C4×C13C22×D412yes—
728C2×C4×C13C2×#4112yes—
729C2×C4×C13C2×#4112yes—
730C22⋊D13—28no—
731C22⋊D13—28no—
732C2×Dic13—21no—
733C2×Dic13—21no—
734C2×Dic13—21no—
735C2×Dic13—21no—
736C2×Dic13—21no—
737C2×Dic13—21no—
738C2×Dic13—21no—
739C2×Dic13—21no—
740C2×Dic13—21no—
741C2×Dic13—21no—
742C2×Dic13—21no—
743C2×Dic13—21no—
744C2×Dic13—21no—
745C2×Dic13—21no—
746C2×Dic13—21no—
747C2×Dic13—21no—
748C2×Dic13—21no—
749C2×Dic13—21no—
750C2×Dic13—21no—
751C2×Dic13—21no—
752C2×Dic13—21no—
753C2×Dic13—21no—
754C2×Dic13—21no—
755C2×Dic13—21no—
756C2×Dic13—21no—
757C2×Dic13—21no—
758C2×Dic13—21no—
759C2×Dic13—21no—
760C2×Dic13—21no—
761C2×Dic13—21no—
762C2×Dic13—21no—
763C2×Dic13—21no—
764C2×Dic13—21no—
765C2×Dic13—21no—
766C2×Dic13—21no—
767C2×Dic13—21no—
768C2×Dic13—44no—
769C2×Dic13—44no—
770C2×Dic13—44no—
771C2×Dic13—44no—
772C2×Dic13C22×D412yes—
773C2×Dic13C2×#4112yes—
774C2×Dic13C2×#4112yes—
775D52—28no—
776C4×D13—28no—
777C4×D13—28no—
778C4×D13—28no—
779C4×D13—44no—
780C4×D13—44no—
781C4×D13—44no—
782C4×D13—44no—
783C4×D13—44no—
784C4×D13—44no—
785C4×D13—44no—
786C4×D13—44no—
787C4×D13—44no—
788C4×D13—44no—
789C4×D13—44no—
790C4×D13—44no—
791C4×D13—44no—
792C4×D13—44no—
793C4×D13—44no—
794C4×D13—44no—
795C4×D13—44no—
796C4×D13—44no—
797C23×D4—131no—
798C24×C4—131no—
799C24×C4—131no—
800C24×C4—131no—
801C24×C4—131no—
802C2×#123—131no—
803C2×#123—131no—
804C2×#123—131no—
805C2×#123—131no—
806C2×#123—131no—
807C2×#123—131no—
808C2×#123—131no—
809C2×#123—268no—
810C2×#123C2×D1311yescharacteristic
811C2×C4×D4—131no—
812C2×C4×D4—131no—
813C2×C4×D4—131no—
814C2×C4×D4—131no—
815C2×C4×D4—131no—
816C2×C4×D4—131no—
817C2×C4×D4—131no—
818C2×C4×D4—268no—
819C2×C4×D4C2×D1311yescharacteristic
820C22×C4⋊C4—131no—
821C22×C4⋊C4—131no—
822C22×C4⋊C4—131no—
823C22×C4⋊C4—131no—
824C22×C4⋊C4—131no—
825C22×C4⋊C4—131no—
826C22×C4⋊C4—131no—
827C22×C22⋊C4—131no—
828C22×C22⋊C4—131no—
829C22×C22⋊C4—131no—
830C22×C22⋊C4—131no—
831C22×C22⋊C4—131no—
832C22×C22⋊C4—131no—
833C22×C22⋊C4—131no—
834C22×C22⋊C4—131no—
835C22×C42—131no—
836#400—131no—
837#400—131no—
838#400—131no—
839#400—131no—
840#400—131no—
841#400—131no—
842#400—131no—
843#400C2×D1311yescharacteristic, complemented
844#398—131no—
845#398—131no—
846#398—131no—
847#398—131no—
848#398—131no—
849#398—131no—
850#398—131no—
851#398C2×D1311yescharacteristic, complemented
852#397—131no—
853#397—131no—
854#397—131no—
855#397—131no—
856#397—131no—
857#397—131no—
858#397—131no—
859#397—131no—
860#397—131no—
861#397—131no—
862#397—131no—
863#397—131no—
864#397—131no—
865#397—131no—
866#397C2×D1311yescharacteristic, complemented
867#397C2×D1311yescharacteristic, complemented
868#387—131no—
869#387—131no—
870#387—131no—
871#387—131no—
872#387—131no—
873#387—131no—
874#387—131no—
875#387—131no—
876#387—131no—
877#387—131no—
878#387—131no—
879#387—131no—
880#387—131no—
881#387—131no—
882#387C2×D1311yescharacteristic, complemented
883#387C2×D1311yescharacteristic, complemented
884#386—131no—
885#386—131no—
886#386—131no—
887#386—131no—
888#386—131no—
889#386—131no—
890#386—131no—
891#386C2×D1311yescharacteristic
892#385—131no—
893#385—131no—
894#385—131no—
895#385—131no—
896#385—131no—
897#385—131no—
898#385—131no—
899#385—131no—
900#385—131no—
901#385—131no—
902#385—131no—
903#385—131no—
904#385—131no—
905#385—131no—
906#385C2×D1311yescharacteristic, complemented
907#385C2×D1311yescharacteristic, complemented
908#381—131no—
909#381—131no—
910#381—131no—
911#381—131no—
912#381—131no—
913#381—131no—
914#381—131no—
915#381—131no—
916#381—131no—
917#381—131no—
918#381—131no—
919#381—131no—
920#381—131no—
921#381—131no—
922#381C2×D1311yescharacteristic, complemented
923#381C2×D1311yescharacteristic, complemented
924#380—131no—
925#380—131no—
926#380—131no—
927#380—131no—
928#380—131no—
929#380—131no—
930#380—131no—
931#380C2×D1311yescharacteristic, complemented
932C2×#95—131no—
933C2×#95—131no—
934C2×#95—131no—
935C2×#95—131no—
936C2×#95—131no—
937C2×#95—131no—
938C2×#95—131no—
939C2×#95—131no—
940C2×#95—131no—
941C2×#95—131no—
942C2×#95—131no—
943C2×#95—131no—
944C2×#95—131no—
945C2×#95—131no—
946C2×#95—131no—
947C2×#95—131no—
948C2×#95—131no—
949C2×#95—131no—
950C2×#95—131no—
951C2×#95—131no—
952C2×#95—131no—
953C2×#95C2×D1311yescharacteristic, complemented
954C22×C13—22no—
955C22×C13—22no—
956C22×C13—22no—
957C22×C13—22no—
958C22×C13—22no—
959C22×C13—22no—
960C22×C13—22no—
961C22×C13—22no—
962C22×C13—22no—
963C22×C13—41no—
964C22×C13—41no—
965C22×C13—41no—
966C22×C13—41no—
967C22×C13C2×#12314yes—
968C22×C13C23×D411yescharacteristic
969C22×C13C22×#4111yescharacteristic
970C22×C13C22×#4111yescharacteristic
971C22×C13C22×#4111yescharacteristic
972C22×C13C22×#4111yescharacteristic
973C22×C13C2×H(5,𝔽2)11yescharacteristic
974C22×C13C2×2−1+411yescharacteristic
975C2×D13—22no—
976C2×D13—22no—
977C2×D13—22no—
978C2×D13—22no—
979C2×D13—22no—
980C2×D13—22no—
981C2×D13—232no—
982C2×D13—22no—
983C2×D13—22no—
984C2×D13—22no—
985C2×D13—41no—
986C2×D13—41no—
987C2×D13—41no—
988C2×D13—41no—
989C2×D13—416no—
990C2×D13C2×#12314yes—
991C2×D13C2×#12314yes—
992C2×D13#52914yes—
993C2×D13#53914yes—
994C2×D13#54614yes—
995C2×D13#54714yes—
996C2×D13#55114yes—
997C2×D13#55214yes—
998C4×C13—22no—
999C4×C13—22no—
1000C4×C13—22no—
1001C4×C13—41no—
1002C4×C13—41no—
1003C4×C13—41no—
1004C4×C13—41no—
1005C4×C13—41no—
1006C4×C13—41no—
1007C4×C13—41no—
1008C4×C13—41no—
1009C4×C13—41no—
1010C4×C13—41no—
1011Dic13—22no—
1012Dic13—22no—
1013Dic13—22no—
1014Dic13—41no—
1015Dic13—41no—
1016Dic13—41no—
1017Dic13—41no—
1018Dic13—41no—
1019Dic13—41no—
1020Dic13—41no—
1021Dic13—41no—
1022Dic13—41no—
1023Dic13—41no—
1024C25—131no—
1025C25—131no—
1026C22×D4—131no—
1027C22×D4—131no—
1028C22×D4—138no—
1029C22×D4—131no—
1030C22×D4—264no—
1031C22×D4—264no—
1032C22×D4C22×D1311yescharacteristic
1033C23×C4—131no—
1034C23×C4—131no—
1035C23×C4—131no—
1036C23×C4—131no—
1037C23×C4—131no—
1038C23×C4—131no—
1039C23×C4—131no—
1040C23×C4—131no—
1041C23×C4—131no—
1042C23×C4—131no—
1043C23×C4—131no—
1044C23×C4—131no—
1045C23×C4—131no—
1046C23×C4—131no—
1047C23×C4—131no—
1048C23×C4—131no—
1049C23×C4—131no—
1050C23×C4—131no—
1051C23×C4—131no—
1052C23×C4—131no—
1053C23×C4—131no—
1054C23×C4—131no—
1055C23×C4—131no—
1056C23×C4—131no—
1057C23×C4—131no—
1058C23×C4—264no—
1059C23×C4—264no—
1060C23×C4—264no—
1061C23×C4—264no—
1062C23×C4—264no—
1063C23×C4—264no—
1064C23×C4—264no—
1065C23×C4—264no—
1066C23×C4—264no—
1067C23×C4—522no—
1068C23×C4—522no—
1069C23×C4—522no—
1070C23×C4C22×D1311yescharacteristic
1071C23×C4C22×D1311yescharacteristic
1072C23×C4C22×D1311yescharacteristic
1073C23×C4C22×D1311yescharacteristic
1074#123—24no—
1075#123—264no—
1076#123—264no—
1077#123—264no—
1078#123—264no—
1079#123—264no—
1080#123—264no—
1081#123—264no—
1082C4×D4—24no—
1083C4×D4—264no—
1084C4×D4—264no—
1085C4×D4—264no—
1086C4×D4—264no—
1087C4×D4—264no—
1088C4×D4—264no—
1089C4×D4—264no—
1090C2×C4⋊C4—131no—
1091C2×C4⋊C4—131no—
1092C2×C4⋊C4—131no—
1093C2×C4⋊C4—131no—
1094C2×C4⋊C4—131no—
1095C2×C4⋊C4—131no—
1096C2×C4⋊C4—131no—
1097C2×C4⋊C4—131no—
1098C2×C4⋊C4—131no—
1099C2×C4⋊C4—131no—
1100C2×C4⋊C4—131no—
1101C2×C4⋊C4—131no—
1102C2×C4⋊C4—131no—
1103C2×C4⋊C4—131no—
1104C2×C4⋊C4—131no—
1105C2×C4⋊C4—131no—
1106C2×C4⋊C4—131no—
1107C2×C4⋊C4—131no—
1108C2×C4⋊C4—131no—
1109C2×C4⋊C4—131no—
1110C2×C4⋊C4—131no—
1111C2×C4⋊C4—264no—
1112C2×C4⋊C4—264no—
1113C2×C4⋊C4—264no—
1114C2×C4⋊C4—264no—
1115C2×C4⋊C4—264no—
1116C2×C4⋊C4—522no—
1117C2×C4⋊C4—522no—
1118C2×C4⋊C4C22×D1311yescharacteristic
1119C2×C4⋊C4C22×D1311yescharacteristic
1120C2×C4⋊C4C22×D1311yescharacteristic
1121C2×C4⋊C4C22×D1311yescharacteristic
1122C2×C4⋊C4C22×D1311yescharacteristic
1123C2×C4⋊C4C22×D1311yescharacteristic
1124C2×C4⋊C4C22×D1311yescharacteristic
1125C2×C22⋊C4—131no—
1126C2×C22⋊C4—131no—
1127C2×C22⋊C4—131no—
1128C2×C22⋊C4—131no—
1129C2×C22⋊C4—131no—
1130C2×C22⋊C4—131no—
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—131no—
1133C2×C22⋊C4—131no—
1134C2×C22⋊C4—131no—
1135C2×C22⋊C4—131no—
1136C2×C22⋊C4—131no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—131no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—131no—
1142C2×C22⋊C4—131no—
1143C2×C22⋊C4—131no—
1144C2×C22⋊C4—131no—
1145C2×C22⋊C4—131no—
1146C2×C22⋊C4—131no—
1147C2×C22⋊C4—131no—
1148C2×C22⋊C4—131no—
1149C2×C22⋊C4—264no—
1150C2×C22⋊C4—264no—
1151C2×C22⋊C4—264no—
1152C2×C22⋊C4—264no—
1153C2×C22⋊C4—264no—
1154C2×C22⋊C4—264no—
1155C2×C22⋊C4—264no—
1156C2×C22⋊C4—522no—
1157C2×C22⋊C4C22×D1311yescharacteristic
1158C2×C22⋊C4C22×D1311yescharacteristic
1159C2×C22⋊C4C22×D1311yescharacteristic
1160C2×C22⋊C4C22×D1311yescharacteristic
1161C2×C22⋊C4C22×D1311yescharacteristic
1162C2×C22⋊C4C22×D1311yescharacteristic
1163C2×C22⋊C4C22×D1311yescharacteristic
1164C2×C22⋊C4C22×D1311yescharacteristic
1165C2×C42—131no—
1166C2×C42—131no—
1167C2×C42—131no—
1168C2×C42—264no—
1169C2×C42C22×D1311yescharacteristic
1170#95—131no—
1171#95—131no—
1172#95—131no—
1173#95—131no—
1174#95—131no—
1175#95—131no—
1176#95—131no—
1177#95—131no—
1178#95—131no—
1179#95—131no—
1180#95—131no—
1181#95—131no—
1182#95—131no—
1183#95—131no—
1184#95—131no—
1185#95—131no—
1186#95—131no—
1187#95—131no—
1188#95—131no—
1189#95—131no—
1190#95—131no—
1191#95—131no—
1192#95—131no—
1193#95—131no—
1194#95—131no—
1195#95—131no—
1196#95—131no—
1197#95—131no—
1198#95—131no—
1199#95—131no—
1200#95—131no—
1201#95—131no—
1202#95—131no—
1203#95—131no—
1204#95—131no—
1205#95—131no—
1206#95—131no—
1207#95—131no—
1208#95—131no—
1209#95—131no—
1210#95—131no—
1211#95—131no—
1212#95C22×D1311yescharacteristic
1213#95C22×D1311yescharacteristic
1214#95C22×D1311yescharacteristic
1215#95C22×D1311yescharacteristic
1216#95C22×D1311yescharacteristic
1217#95C22×D1311yescharacteristic
1218#95C22×D1311yescharacteristic
1219#95C22×D1311yescharacteristic
1220#95C22×D1311yescharacteristic
1221#95C22×D1311yescharacteristic
1222#95C22×D1311yescharacteristic
1223#95C22×D1311yescharacteristic
1224#95C22×D1311yescharacteristic
1225#95C22×D1311yescharacteristic
1226C2×C13—24no—
1227C2×C13—42no—
1228C2×C13C22×#12311yescharacteristic
1229C2×C13C2×#52911yescharacteristic
1230C2×C13C2×#53911yescharacteristic
1231C2×C13C2×#54611yescharacteristic
1232C2×C13C2×#54711yescharacteristic
1233C2×C13C2×#55111yescharacteristic
1234C2×C13C2×#55211yescharacteristic
1235D13—24no—
1236D13—42no—
1237D13#241918yesdirect product factor
1238C24—131no—
1239C24—134no—
1240C24—134no—
1241C24—134no—
1242C24—131no—
1243C24—134no—
1244C24—131no—
1245C24—262no—
1246C24—262no—
1247C24—262no—
1248C24—262no—
1249C24—262no—
1250C24—262no—
1251C24—262no—
1252C24—262no—
1253C24—262no—
1254C24—262no—
1255C24C23×D1311yescharacteristic
1256C24C23×D1311yescharacteristic
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—134no—
1260C2×D4—134no—
1261C2×D4—134no—
1262C2×D4—262no—
1263C2×D4—262no—
1264C2×D4—2632no—
1265C2×D4—262no—
1266C2×D4—262no—
1267C2×D4—262no—
1268C2×D4—262no—
1269C2×D4D4×D1314yes—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—131no—
1283C22×C4—131no—
1284C22×C4—131no—
1285C22×C4—134no—
1286C22×C4—134no—
1287C22×C4—134no—
1288C22×C4—131no—
1289C22×C4—131no—
1290C22×C4—131no—
1291C22×C4—131no—
1292C22×C4—131no—
1293C22×C4—131no—
1294C22×C4—131no—
1295C22×C4—131no—
1296C22×C4—131no—
1297C22×C4—131no—
1298C22×C4—262no—
1299C22×C4—262no—
1300C22×C4—262no—
1301C22×C4—262no—
1302C22×C4—262no—
1303C22×C4—262no—
1304C22×C4—262no—
1305C22×C4—262no—
1306C22×C4—262no—
1307C22×C4—262no—
1308C22×C4—262no—
1309C22×C4—262no—
1310C22×C4—262no—
1311C22×C4—262no—
1312C22×C4—262no—
1313C22×C4—262no—
1314C22×C4—262no—
1315C22×C4—262no—
1316C22×C4—262no—
1317C22×C4—262no—
1318C22×C4—262no—
1319C22×C4—262no—
1320C22×C4—262no—
1321C22×C4—262no—
1322C22×C4—262no—
1323C22×C4—262no—
1324C22×C4—262no—
1325C22×C4—262no—
1326C22×C4—262no—
1327C22×C4—262no—
1328C22×C4—262no—
1329C22×C4—262no—
1330C22×C4—262no—
1331C22×C4—262no—
1332C22×C4—262no—
1333C22×C4—262no—
1334C22×C4—262no—
1335C22×C4—262no—
1336C22×C4—262no—
1337C22×C4—262no—
1338C22×C4—262no—
1339C22×C4—262no—
1340C22×C4—262no—
1341C22×C4—262no—
1342C22×C4—262no—
1343C22×C4—262no—
1344C22×C4—262no—
1345C22×C4—262no—
1346C22×C4—262no—
1347C22×C4—262no—
1348C22×C4—262no—
1349C22×C4—262no—
1350C22×C4—262no—
1351C22×C4—262no—
1352C22×C4—262no—
1353C22×C4—262no—
1354C22×C4—262no—
1355C22×C4—262no—
1356C22×C4—262no—
1357C22×C4—262no—
1358C22×C4—262no—
1359C22×C4—262no—
1360C22×C4—262no—
1361C22×C4—521no—
1362C22×C4—521no—
1363C22×C4—521no—
1364C22×C4—521no—
1365C22×C4—521no—
1366C22×C4—521no—
1367C22×C4—5216no—
1368C22×C4—5216no—
1369C22×C4—5216no—
1370C22×C4—5216no—
1371C22×C4—521no—
1372C22×C4—521no—
1373C22×C4—521no—
1374C22×C4C23×D1311yescharacteristic
1375C22×C4C23×D1311yescharacteristic
1376C22×C4C23×D1311yescharacteristic
1377C22×C4C23×D1311yescharacteristic
1378C22×C4C23×D1311yescharacteristic
1379C22×C4C23×D1311yescharacteristic
1380C22×C4C23×D1311yescharacteristic
1381C22×C4C23×D1311yescharacteristic
1382C22×C4C23×D1311yescharacteristic
1383C22×C4C23×D1311yescharacteristic
1384C22×C4C23×D1311yescharacteristic
1385C22×C4C23×D1311yescharacteristic
1386C22×C4C23×D1311yescharacteristic
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—262no—
1395C4⋊C4—262no—
1396C4⋊C4—262no—
1397C4⋊C4—262no—
1398C4⋊C4—262no—
1399C4⋊C4—262no—
1400C4⋊C4—262no—
1401C4⋊C4—262no—
1402C4⋊C4—262no—
1403C4⋊C4—262no—
1404C4⋊C4—262no—
1405C4⋊C4—262no—
1406C4⋊C4—262no—
1407C4⋊C4—262no—
1408C4⋊C4—262no—
1409C4⋊C4—521no—
1410C4⋊C4—521no—
1411C4⋊C4—521no—
1412C4⋊C4—521no—
1413C4⋊C4—521no—
1414C4⋊C4—521no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—41no—
1423C22⋊C4—262no—
1424C22⋊C4—262no—
1425C22⋊C4—262no—
1426C22⋊C4—262no—
1427C22⋊C4—262no—
1428C22⋊C4—262no—
1429C22⋊C4—262no—
1430C22⋊C4—262no—
1431C22⋊C4—262no—
1432C22⋊C4—262no—
1433C22⋊C4—262no—
1434C22⋊C4—262no—
1435C22⋊C4—262no—
1436C22⋊C4—262no—
1437C22⋊C4—262no—
1438C22⋊C4—262no—
1439C22⋊C4—262no—
1440C22⋊C4—262no—
1441C22⋊C4—262no—
1442C22⋊C4—262no—
1443C22⋊C4—262no—
1444C22⋊C4—521no—
1445C22⋊C4—521no—
1446C22⋊C4—521no—
1447C42—22no—
1448C42—262no—
1449C42—262no—
1450C42—262no—
1451C13C2×#241911yescharacteristic, complemented, Sylow
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—132no—
1463C23—132no—
1464C23—132no—
1465C23—132no—
1466C23—132no—
1467C23—132no—
1468C23—132no—
1469C23—1316no—
1470C23—132no—
1471C23—132no—
1472C23—132no—
1473C23—132no—
1474C23—268no—
1475C23—268no—
1476C23—268no—
1477C23—268no—
1478C23—268no—
1479C23—268no—
1480C23—268no—
1481C23—268no—
1482C23—268no—
1483C23—261no—
1484C23—261no—
1485C23—261no—
1486C23—261no—
1487C23—261no—
1488C23—261no—
1489C23—261no—
1490C23—261no—
1491C23—261no—
1492C23—261no—
1493C23—524no—
1494C23—524no—
1495C23—524no—
1496C23—524no—
1497C23C2×D4×D1312yes—
1498C23C2×D4×D1312yes—
1499C23#41×D1312yes—
1500C23#41×D1312yes—
1501C23C24×D1311yescharacteristic
1502D4—28no—
1503D4—268no—
1504D4—268no—
1505D4—268no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—44no—
1543C2×C4—44no—
1544C2×C4—44no—
1545C2×C4—44no—
1546C2×C4—132no—
1547C2×C4—132no—
1548C2×C4—132no—
1549C2×C4—268no—
1550C2×C4—268no—
1551C2×C4—268no—
1552C2×C4—261no—
1553C2×C4—261no—
1554C2×C4—261no—
1555C2×C4—261no—
1556C2×C4—261no—
1557C2×C4—261no—
1558C2×C4—261no—
1559C2×C4—261no—
1560C2×C4—261no—
1561C2×C4—261no—
1562C2×C4—261no—
1563C2×C4—261no—
1564C2×C4—261no—
1565C2×C4—261no—
1566C2×C4—261no—
1567C2×C4—261no—
1568C2×C4—261no—
1569C2×C4—261no—
1570C2×C4—261no—
1571C2×C4—261no—
1572C2×C4—261no—
1573C2×C4—261no—
1574C2×C4—261no—
1575C2×C4—261no—
1576C2×C4—261no—
1577C2×C4—261no—
1578C2×C4—261no—
1579C2×C4—261no—
1580C2×C4—261no—
1581C2×C4—261no—
1582C2×C4—261no—
1583C2×C4—261no—
1584C2×C4—261no—
1585C2×C4—261no—
1586C2×C4—261no—
1587C2×C4—261no—
1588C2×C4—524no—
1589C2×C4—524no—
1590C2×C4—524no—
1591C2×C4—524no—
1592C2×C4—524no—
1593C2×C4—524no—
1594C2×C4—524no—
1595C2×C4—524no—
1596C2×C4—524no—
1597C2×C4—524no—
1598C2×C4—524no—
1599C2×C4—524no—
1600C2×C4—524no—
1601C2×C4—524no—
1602C2×C4—524no—
1603C2×C4—524no—
1604C2×C4—524no—
1605C2×C4—524no—
1606C2×C4—524no—
1607C2×C4—524no—
1608C2×C4—524no—
1609C2×C4—524no—
1610C2×C4C2×D4×D1312yes—
1611C2×C4#41×D1312yes—
1612C2×C4#41×D1312yes—
1613C22—22no—
1614C22—22no—
1615C22—22no—
1616C22—22no—
1617C22—22no—
1618C22—22no—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—134no—
1627C22—134no—
1628C22—134no—
1629C22—134no—
1630C22—134no—
1631C22—134no—
1632C22—134no—
1633C22—134no—
1634C22—2632no—
1635C22—262no—
1636C22—262no—
1637C22—262no—
1638C22—262no—
1639C22—262no—
1640C22—262no—
1641C22—262no—
1642C22—262no—
1643C22—262no—
1644C22—5216no—
1645C22—521no—
1646C22—521no—
1647C22—521no—
1648C22—521no—
1649C22D13×#12314yes—
1650C22C22×D4×D1311yescharacteristic
1651C22C2×#41×D1311yescharacteristic
1652C22C2×#41×D1311yescharacteristic
1653C22C2×#41×D1311yescharacteristic
1654C22C2×#41×D1311yescharacteristic
1655C22D13×H(5,𝔽2)11yescharacteristic
1656C22D13×2−1+411yescharacteristic
1657C4—22no—
1658C4—22no—
1659C4—22no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—262no—
1671C4—262no—
1672C4—262no—
1673C4—521no—
1674C4—521no—
1675C4—521no—
1676C4—521no—
1677C4—521no—
1678C4—521no—
1679C4—521no—
1680C4—521no—
1681C4—521no—
1682C4—521no—
1683C2—24no—
1684C2—42no—
1685C2—138no—
1686C2—264no—
1687C2—522no—
1688C2C2×D13×#12311yescharacteristic
1689C2D13×#52911yescharacteristic
1690C2D13×#53911yescharacteristic
1691C2D13×#54611yescharacteristic
1692C2D13×#54711yescharacteristic
1693C2D13×#55111yescharacteristic
1694C2D13×#55211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D13
commutator, socle, cosocleC23×C13C25
FittingC13×#2419C2
prime radicalC22×D4×D13C22
hypercenter#2419D13
hypocenterC13C2×#2419
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C23 ◁ #2419

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. #13118320C2semidirect
4. #13118319C2semidirect
5. #13118318C2semidirect
6. #13118317C2semidirect
7. #13118316C2semidirect
8. #13118315C2semidirect
9. #13118314C2semidirect
10. #13118313C2semidirect
11. #13118312C2semidirect
12. #13118311C2semidirect
13. #13118310C2semidirect
14. #13118309C2semidirect
15. #13118308C2semidirect
16. #13118307C2semidirect
17. #13118306C2semidirect
18. D13×#400C2semidirect
19. D13×#398C2semidirect
20. D13×#397C2semidirect
21. D13×#397C2semidirect
22. D13×#387C2semidirect
23. D13×#387C2semidirect
25. D13×#385C2semidirect
26. D13×#385C2semidirect
27. D13×#381C2semidirect
28. D13×#381C2semidirect
29. D13×#380C2semidirect
30. C2×D13×#95C2semidirect
31. C13×#2419C2semidirect
71. C13×#400C22semidirect
72. C13×#398C22semidirect
73. C13×#397C22semidirect
74. C13×#397C22semidirect
75. C13×#387C22semidirect
76. C13×#387C22semidirect
78. C13×#385C22semidirect
79. C13×#385C22semidirect
80. C13×#381C22semidirect
81. C13×#381C22semidirect
82. C13×#380C22semidirect
83. C2×C13×#95C22semidirect
86. #11718873C22semidirect
87. #11718872C22semidirect
88. #11718872C22semidirect
89. #11718871C22semidirect
90. #11718871C22semidirect
91. C2×#88071C22semidirect
92. C2×#88071C22semidirect
93. C2×#88071C22semidirect
94. #11718654C22semidirect
95. #11718654C22semidirect
96. #11718650C22semidirect
97. #11718650C22semidirect
98. #11718650C22semidirect
99. #11718650C22semidirect
100. #11718648C22semidirect
101. #11718648C22semidirect
102. #11718647C22semidirect
103. #11718645C22semidirect
104. #11718645C22semidirect
105. #11718644C22semidirect
106. #11718643C22semidirect
107. #11718642C22semidirect
108. #11718642C22semidirect
109. #11718641C22semidirect
110. #11718639C22semidirect
111. #11718639C22semidirect
115. #11718614C22semidirect
116. #11718614C22semidirect
117. #11718613C22semidirect
118. #11718613C22semidirect
119. #11718613C22semidirect
120. #11718613C22semidirect
121. #11718611C22semidirect
122. #11718611C22semidirect
123. #11718607C22semidirect
124. #11718607C22semidirect
125. #11718604C22semidirect
126. #11718604C22semidirect
127. #11718604C22semidirect
128. #11718604C22semidirect
129. #11718603C22semidirect
130. #11718603C22semidirect
131. #11718594C22semidirect
132. #11718594C22semidirect
133. #11718336C22semidirect
134. #11718336C22semidirect
135. #11718336C22semidirect
136. #11718336C22semidirect
137. #11718335C22semidirect
138. #11718335C22semidirect
139. #11718329C22semidirect
140. #11718329C22semidirect
141. #11718329C22semidirect
142. #11718329C22semidirect
143. #11718328C22semidirect
144. #11718328C22semidirect
147. #11718325C22semidirect
148. #11718325C22semidirect
149. #11718325C22semidirect
150. #11718325C22semidirect
151. #11718325C22semidirect
152. #11718325C22semidirect
153. #11718325C22semidirect
154. #11718325C22semidirect
169. D13×#95C22semidirect
170. D13×#95C22semidirect
171. D13×#95C22semidirect
172. D13×#95C22semidirect
173. #11718322C22semidirect
174. #11718321C22semidirect
175. #11718321C22semidirect
176. #11718320C22semidirect
177. #11718319C22semidirect
178. #11718319C22semidirect
179. #11718318C22semidirect
180. #11718318C22semidirect
181. #11718316C22semidirect
182. #11718316C22semidirect
183. #11718315C22semidirect
184. #11718315C22semidirect
185. #11718314C22semidirect
186. #11718314C22semidirect
187. #11718313C22semidirect
188. #11718313C22semidirect
622. #2419D13direct (N × H)
843. #400C2×D13semidirect
851. #398C2×D13semidirect
866. #397C2×D13semidirect
867. #397C2×D13semidirect
882. #387C2×D13semidirect
883. #387C2×D13semidirect
906. #385C2×D13semidirect
907. #385C2×D13semidirect
922. #381C2×D13semidirect
923. #381C2×D13semidirect
931. #380C2×D13semidirect
953. C2×#95C2×D13semidirect
1237. D13#2419direct (N × H)
1451. C13C2×#2419semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×D13×#1232
C2×C4×D4×D132
#131183202
#131183192
#131183182
#131183172
#131183162
#131183152
#131183142
#131183132
#131183122
#131183112
#131183102
#131183092
#131183082
#131183072
#131183062
D13×#4002
D13×#3982
D13×#3972
D13×#3872
D13×#3862
D13×#3852
D13×#3812
D13×#3802
C2×D13×#952
C13×#24192
C2×#241913